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    <title>fullrfk</title>
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    <center>Scilab Function</center>
    <div align="right">Last update : 16/12/2004</div>
    <p>
      <b>fullrfk</b> -  full rank factorization of <tt>
        <b>A^k</b>
      </tt>
    </p>
    <h3>
      <font color="blue">Calling Sequence</font>
    </h3>
    <dl>
      <dd>
        <tt>[Bk,Ck]=fullrfk(A,k)  </tt>
      </dd>
    </dl>
    <h3>
      <font color="blue">Parameters</font>
    </h3>
    <ul>
      <li>
        <tt>
          <b>A</b>
        </tt>: real or complex matrix</li>
      <li>
        <tt>
          <b>k</b>
        </tt>: integer</li>
      <li>
        <tt>
          <b>Bk,Ck</b>
        </tt>: real or complex matrices</li>
    </ul>
    <h3>
      <font color="blue">Description</font>
    </h3>
    <p>
    This function computes the full rank factorization of <tt>
        <b>A^k</b>
      </tt> i.e.
    <tt>
        <b>Bk*Ck=A^k</b>
      </tt> where <tt>
        <b>Bk</b>
      </tt> is full column rank and <tt>
        <b>Ck</b>
      </tt> full row rank.
    One has range(<tt>
        <b>Bk</b>
      </tt>)=range(<tt>
        <b>A^k</b>
      </tt>) and ker(<tt>
        <b>Ck</b>
      </tt>)=ker(<tt>
        <b>A^k</b>
      </tt>).</p>
    <p>
    For <tt>
        <b>k=1</b>
      </tt>, <tt>
        <b>fullrfk</b>
      </tt> is equivalent to <tt>
        <b>fullrf</b>
      </tt>.</p>
    <h3>
      <font color="blue">Examples</font>
    </h3>
    <pre>

A=rand(5,2)*rand(2,5);[Bk,Ck]=fullrfk(A,3);
norm(Bk*Ck-A^3,1)
 
  </pre>
    <h3>
      <font color="blue">See Also</font>
    </h3>
    <p>
      <a href="fullrf.htm">
        <tt>
          <b>fullrf</b>
        </tt>
      </a>,&nbsp;&nbsp;<a href="range.htm">
        <tt>
          <b>range</b>
        </tt>
      </a>,&nbsp;&nbsp;</p>
    <h3>
      <font color="blue">Author</font>
    </h3>
    <p>F.D (1990);   </p>
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